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24245254242 = 23211217654817
BaseRepresentation
bin10110100101001000…
…010011100001100010
32022120200201112021100
4112211020103201202
5344123241113432
615045455535230
71515551155266
oct264510234142
968520645240
1024245254242
11a3118a5400
12484782a516
1323950698b1
14126003c0a6
1596d7d907c
hex5a5213862

24245254242 has 72 divisors (see below), whose sum is σ = 61137737388. Its totient is φ = 6914856960.

The previous prime is 24245254237. The next prime is 24245254249.

24245254242 is a `hidden beast` number, since 2 + 4 + 24 + 52 + 542 + 42 = 666.

24245254242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 24230346921 + 14907321 = 155661^2 + 3861^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24245254197 and 24245254206.

It is not an unprimeable number, because it can be changed into a prime (24245254249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290383 + ... + 364434.

Almost surely, 224245254242 is an apocalyptic number.

24245254242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24245254242 is an abundant number, since it is smaller than the sum of its proper divisors (36892483146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24245254242 is a wasteful number, since it uses less digits than its factorization.

24245254242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654864 (or 654850 counting only the distinct ones).

The product of its digits is 204800, while the sum is 36.

The spelling of 24245254242 in words is "twenty-four billion, two hundred forty-five million, two hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 12342 18513 37026 654817 1309634 1964451 3928902 5893353 7202987 11131889 11786706 14405974 21608961 22263778 33395667 43217922 64826883 66791334 79232857 100187001 122450779 129653766 158465714 200374002 237698571 244901558 367352337 475397142 713095713 734704674 1102057011 1346958569 1426191426 2204114022 2693917138 4040875707 8081751414 12122627121 24245254242